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157050960 = 2435111931101
BaseRepresentation
bin10010101110001…
…10100001010000
3101221112000102020
421113012201100
5310201112320
623330051440
73614624343
oct1127064120
9357460366
10157050960
1180718790
1244719b80
13266ca381
1416c0245a
15dbc3940
hex95c6850

157050960 has 320 divisors, whose sum is σ = 582819840. Its totient is φ = 34560000.

The previous prime is 157050953. The next prime is 157050983. The reversal of 157050960 is 69050751.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1554910 + ... + 1555010.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 2157050960 is an apocalyptic number.

157050960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

157050960 is an abundant number, since it is smaller than the sum of its proper divisors (425768880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157050960 is a wasteful number, since it uses less digits than its factorization.

157050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 157050960 is about 12531.9974465366. The cubic root of 157050960 is about 539.5274329306.

The spelling of 157050960 in words is "one hundred fifty-seven million, fifty thousand, nine hundred sixty".